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114622368 = 25373592
BaseRepresentation
bin1101101010011…
…11111110100000
321222200102022220
412311033332200
5213320403433
615212431040
72561163000
oct665177640
9258612286
10114622368
1159779533
1232478480
131a9932b3
141131a000
15a0e22b3
hex6d4ffa0

114622368 has 144 divisors (see below), whose sum is σ = 356932800. Its totient is φ = 32194176.

The previous prime is 114622367. The next prime is 114622369. The reversal of 114622368 is 863226411.

It is an interprime number because it is at equal distance from previous prime (114622367) and next prime (114622369).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114622367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1942723 + ... + 1942781.

It is an arithmetic number, because the mean of its divisors is an integer number (2478700).

Almost surely, 2114622368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114622368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178466400).

114622368 is an abundant number, since it is smaller than the sum of its proper divisors (242310432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114622368 is an frugal number, since it uses more digits than its factorization.

114622368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 71 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 114622368 is about 10706.1836337698. The cubic root of 114622368 is about 485.7615385895.

Adding to 114622368 its reverse (863226411), we get a palindrome (977848779).

The spelling of 114622368 in words is "one hundred fourteen million, six hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 59 84 96 98 112 118 147 168 177 196 224 236 294 336 343 354 392 413 472 588 672 686 708 784 826 944 1029 1176 1239 1372 1416 1568 1652 1888 2058 2352 2478 2744 2832 2891 3304 3481 4116 4704 4956 5488 5664 5782 6608 6962 8232 8673 9912 10443 10976 11564 13216 13924 16464 17346 19824 20237 20886 23128 24367 27848 32928 34692 39648 40474 41772 46256 48734 55696 60711 69384 73101 80948 83544 92512 97468 111392 121422 138768 146202 161896 167088 170569 194936 242844 277536 292404 323792 334176 341138 389872 485688 511707 584808 647584 682276 779744 971376 1023414 1169616 1193983 1364552 1942752 2046828 2339232 2387966 2729104 3581949 4093656 4775932 5458208 7163898 8187312 9551864 14327796 16374624 19103728 28655592 38207456 57311184 114622368